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Finding the Third Proportional to 67,093 and 143,582

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Solution

The third proportional to 67,093 and 143,582 is: 307,271.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,093 : 143,582 = 143,582 : x
  2. Step 2: Convert to fraction form
    67,093/143,582 = 143,582/x
  3. Step 3: Cross multiply
    67,093x = 143,582 × 143,582
  4. Step 4: Simplify right side
    67,093x = 20,615,790,724
  5. Step 5: Solve for x
    x = 20,615,790,724/67,093
  6. Step 6: Final answer
    x = 307,271.86

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.